1.00(x-50.00)=0.80(x-100.00)

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Solution for 1.00(x-50.00)=0.80(x-100.00) equation: 


Simplifying
1.00(x + -50.00) = 0.80(x + -100.00)

Reorder the terms:
1.00(-50.00 + x) = 0.80(x + -100.00)
(-50.00 * 1.00 + x * 1.00) = 0.80(x + -100.00)
(-50 + 1.00x) = 0.80(x + -100.00)

Reorder the terms:
-50 + 1.00x = 0.80(-100.00 + x)
-50 + 1.00x = (-100.00 * 0.80 + x * 0.80)
-50 + 1.00x = (-80 + 0.80x)

Solving
-50 + 1.00x = -80 + 0.80x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.80x' to each side of the equation.
-50 + 1.00x + -0.80x = -80 + 0.80x + -0.80x

Combine like terms: 1.00x + -0.80x = 0.2x
-50 + 0.2x = -80 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
-50 + 0.2x = -80 + 0.00
-50 + 0.2x = -80

Add '50' to each side of the equation.
-50 + 50 + 0.2x = -80 + 50

Combine like terms: -50 + 50 = 0
0 + 0.2x = -80 + 50
0.2x = -80 + 50

Combine like terms: -80 + 50 = -30
0.2x = -30

Divide each side by '0.2'.
x = -150

Simplifying
x = -150

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